The South Coast club spent £35million on players during the transfer window and Boruc thinks a top-four spot is a realistic aim.
Speaking to the Southern Daily Echo, Boruc insisted there is nothing wrong with having lofty ambitions.
Boruc said: "It might sound weird, but if you really, really think about this, I would not say we are worse than any other team in England, so why not?
"If we're going to work hard, if we are going to believe in our work, we may be there. I am always dreaming about the Champions League. Obviously it is going to be tough but I think there is a chance towards the top of the league.
"I mean, why not win the title in the future? It sounds like something unbelievable and now it may be, but if you believe, it may happen. We do believe so hard we can achieve it."
Southampton travel to Anfield on Saturday to play Liverpool.